Assistance to Create a Recipe for 41-EDO and "Kite Guitar" Tablature

[devin]

Hi All,

I need help from users who have some experience with microtonality (or 
overrides in general) in Lilypond to create a recipe for lilypond 
notation for the Kite Guitar (kiteguitar.com). The Kite Guitar uses 41 
equal divisions of the octave in a clever way, which balances 
practicality with playability to get a very close approximation to 
7-limit Just Intonation.

I have made some attempts, but I don't really know Lilypond so well that 
I can create a handy recipe such as this. I did some research and found 
http://x31eq.com/lilypond/ which is helpful, but I am unable to make the 
necessary tweaks with my limited knowledge. (I am happy to send over 
what I tried to do, but as my attempts have only failed I do not want to 
confuse anyone.)

The overarching specs are:
1. 41 Equal Divisions of the Octave

Tablature-specific:
2. Frets are spaced two EDO-steps apart (i.e. 2 of the 41)
3. Strings are tuned 13 EDO-steps apart (i.e. 13 of the 41)
^^Lilypond will either need to find the pitch, or allow the user to 
override the current calculation as what I am getting is for a standard 
guitar.

Notation-specific:
4. There are Sharps and Flats, but there are also upwards "^", 
double-upwards "^^", downwards "v", and "double-downwards "vv". (see 
https://en.xen.wiki/w/Ups_and_Downs_Notation )
5. There needs to be some way to set upwards/downwards in the key 
signature.
^^ it would be super-nice if this could be done globally, so that a 
composer can focus on the music-making

Chord-charts:
6. Support for chord charts such as 
https://en.xen.wiki/w/Kite_Guitar_Translations_by_Aaron_Wolf#Auld_Lang_Syne

Any help is appreciated. The growing community of Kite Guitar players 
would really appreciate this (many of whom are fellow software libre 
supporters/advocates). Also, I can send over some sample scores created 
with MuseScore once I receive permission to share them.

Thanks in Advance!
Devin